Lensless in-line holography can produce high resolution images over a large field of view (FoV). In a previous work [1], we have shown that (i) the actual FoV can be extrapolated outside of the camera FoV and (ii) effective resolution of the setup can be several times higher than the resolution of the camera. In this paper, we present of a reconstruction method to recover high resolution with an extrapolated FoV images of the phase and the amplitude of a sample from aliased intensity measurements taken at lower resolution.